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Finding the Third Proportional to 452,498 and 893,574

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Solution

The third proportional to 452,498 and 893,574 is: 1,764,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,498 : 893,574 = 893,574 : x
  2. Step 2: Convert to fraction form
    452,498/893,574 = 893,574/x
  3. Step 3: Cross multiply
    452,498x = 893,574 × 893,574
  4. Step 4: Simplify right side
    452,498x = 798,474,493,476
  5. Step 5: Solve for x
    x = 798,474,493,476/452,498
  6. Step 6: Final answer
    x = 1,764,592.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.